contestada

Circle P is shown. Tangents R S and T S intersect at point S outside of the circle to form angle x. The first arc formed is arc y, and the second arc formed is arc z. Which statement is true regarding the diagram of circle P?
The sum of y and z must be 2x.
The sum of y and z must be One-halfx.
The difference of z and y must be 2x.
The difference of z and y must be One-halfx.

Respuesta :

calculista

Answer:

The difference of z and y must be 2x.

Step-by-step explanation:

we know that

The measure of the external angle is the semi-difference of the arches it covers

so

[tex]x=\frac{1}{2}[z-y][/tex]

Isolate the difference of z and y

[tex](z-y)=2x[/tex]

therefore

The difference of z and y must be 2x.

Answer:

C.

Step-by-step explanation:

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